Solve 21/2+51/3=

$$2 \frac { 1 } { 2 } + 5 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{47}{6}\approx 7.833333333$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}+\frac{5\times 3+1}{3}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}+\frac{5\times 3+1}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{5}{2}+\frac{15+1}{3}$$

Add 15 and 1 to get 16.

$$\frac{5}{2}+\frac{16}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{16}{3} to fractions with denominator 6.

$$\frac{15}{6}+\frac{32}{6}$$

Since \frac{15}{6} and \frac{32}{6} have the same denominator, add them by adding their numerators.

$$\frac{15+32}{6}$$

Add 15 and 32 to get 47.

$$\frac{47}{6}$$

Factor

$$\frac{47}{2 \cdot 3} = 7\frac{5}{6} = 7.833333333333333$$